Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$$
A) $\left( a , \frac { 5 } { 2 } \right)$
B) $\left( - \frac { a } { 2 } , 1 \right)$
C) $\left( \frac { \mathrm { a } } { 2 } , \frac { 5 } { 2 } \right)$
D) $( a , 5 )$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this formula to the given points $P_1 = (a, 2)$ and $P_2 = (0, 3)$, we get the midpoint as $\left( \frac{a + 0}{2}, \frac{2 + 3}{2} \right) = \left( \frac{a}{2}, \frac{5}{2} \right)$.

Find the Midpoint of the Line Segment Joining the Points P1=(a,2);P2=(0,3)\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )P1​=(a,2);P2​=(0,3)

Find the Midpoint of the Line Segment Joining the Points $\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$